Question

What is 3 (x-6) +2 ≥ 5x - 4

Answer 1

Answer:

-6 > x

Step-by-step explanation:

3 (x-6) +2 ≥ 5x - 4

3x-18 + 2 > 5x - 4

3x - 18 > 5x - 6

-18 > 2x - 6

-12 > 2x

-6 > x

Answer 2

Answer:

x ≤ -6

Step-by-step explanation:

Distribute 3 through the paraentheses:

3(x - 6) + 2 ≥ 5x - 4

    ↓

3x - 18 + 2 ≥ 5x - 4

Calculate the sum:

3x - 18 + 2 ≥ 5x - 4

       ↓

3x - 16 ≥ 5x - 4

Move the variable (5x) to the left-hand side and change its sign:

3x - 16 ≥ 5x - 4

          ↓

3x -5x - 16 ≥ - 4

Move the constant (- 16) to the right-hand side and change its sign:

3x -5x - 16 ≥ - 4

          ↓

3x - 5x ≥ - 4 + 16

Collect like terms (3x and - 5x):

3x - 5x ≥ - 4 + 16

           ↓

-2x ≥ - 4 + 16

Calculate the sum:

-2x ≥ - 4 + 16

         ↓

-2x ≥ 12

Divide both sides of the inequality by -2 and flip the inequality sign:

x ≤ -6